104027564160 has 768 divisors, whose sum is σ = 415738552320. Its totient is φ = 23740416000.

The previous prime is 104027564159. The next prime is 104027564161. The reversal of 104027564160 is 61465720401.

104027564160 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 2 + 7 + 5 + 641 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (104027564159) and next prime (104027564161).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (104027564161) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 90379585 + ... + 90380735.

It is an arithmetic number, because the mean of its divisors is an integer number (541326240).

Almost surely, 2^104027564160 is an apocalyptic number.

104027564160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104027564160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207869276160).

104027564160 is an abundant number, since it is smaller than the sum of its proper divisors (311710988160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

104027564160 is a wasteful number, since it uses less digits than its factorization.

104027564160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1277 (or 1262 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 104027564160 in words is "one hundred four billion, twenty-seven million, five hundred sixty-four thousand, one hundred sixty".